Contents V.14 N.1 2023

  • ON SOME NON-INSTANTANEOUS IMPULSIVE DIFFERENTIAL EQUATIONS WITH FRACTIONAL BROWNIAN MOTION AND POISSON JUMPS
    HAMDY M. AHMED, A.M. SAYED AHMED, MARIA ALESSANDRA RAGUSA (pp. 125-140)
    10.30546/2219-1259.14.1.2023.125

    • Abstract.

    By using Monch fixed point theorem, fractional calculus and stochastic analysis, sufficient conditions for existence solutions of non-instantaneous impulsive Hilfer-Katugampola fractional differential equations of order 1/2 < α < 1 and parameter 0 ≤ β ≤ 1 with fractional Brownian motion (fBm), Poisson jumps, and with nonlocal conditions are established. Finally, an example is given to illustrate the results obtained.

    Keywords:

    fractional Brownian motion, poisson jumps, Hilfer-Katugampola fractional derivative, Monch fixed point theorem, stochastic differential equations.

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